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Finding the Fourth Proportional to 1,145.86, 1,580.69 and 703.86

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Solution

The fourth proportional to 1,145.86, 1,580.69 and 703.86 is: 970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.86 : 1,580.69 = 703.86 : x
  2. Step 2: Convert to fraction form
    1,145.86/1,580.69 = 703.86/x
  3. Step 3: Cross multiply
    1,145.86x = 1,580.69 × 703.86
  4. Step 4: Simplify right side
    1,145.86x = 1,112,584.46
  5. Step 5: Solve for x
    x = 1,112,584.46/1,145.86
  6. Step 6: Final answer
    x = 970.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.